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2 years ago

Sarah is training for a bike race . She rides her bike 5 3/4 miles in 45 minutes.what is Sarah's rate in mile per hour ?

Mathematics

1 answer:

poizon [28]2 years ago

3 0

Answer:

7.6667 miles per hour

Step-by-step explanation:

Since the question is asking for her rate in Miles per hour. We want to convert the given time (minutes) to hours. 45 minutes is simply 3/4 of an hour, or 0.75 hours.

Now that we have how many miles she biked and how many hours it took, we simply divide the two values.

By converting 5 and 3/4 into a single fraction it would be 23/4, so we would divide 23/4 by 0.75 hours to get the final answer of 7.6667 miles per hour.

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3 years ago

Change the fraction to a percent.

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The fraction in the picture is 1/8 .
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3 years ago

Analyze the key features of the graph f(x) = 1/x+3 -2

tia_tia [17]

<h2>Explanation:</h2><h2></h2>

Here we have the following rational function:

$f(x) = \frac{1}{x+3} -2$

So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:

$g(x)=\frac{1}{x}$

Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:

Step 1. Shift the graph 3 units to the left:

$f_{1}(x) = \frac{1}{x+3}$

Step 2. Shift the graph 2 units down:

$f(x) = \frac{1}{x+3}-2$

Finally, the features of the graph of f are:

The graph of this function comes from the parent function g and the transformations are:

A shifting 3 units to the left

A shifting 2 units down

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3 years ago

3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

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Answer:

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

The intial average yield per acre $y_{i}$ = 150

The initial number of trees per acre $t_{i}$ = 100

For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
Total yield = (number of trees per acre) $*$ (average yield per acre)